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Show that if m and n are integers and a and b are elements

Chapter 12, Problem 15E

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QUESTION:

Problem 15E

Show that if m and n are integers and a and b are elements from a ring, then (m · a)(n · b) 5 (mn) · (ab). (This exercise is referred to in Chapters 13 and 15.)

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QUESTION:

Problem 15E

Show that if m and n are integers and a and b are elements from a ring, then (m · a)(n · b) 5 (mn) · (ab). (This exercise is referred to in Chapters 13 and 15.)

ANSWER:

Step 1 of 2

Suppose m and n are integers and a and b are elements from a ring.

To prove that

It is known that for an integer n and two ring elements a and b,

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